Mathematics

In figure, find the values of x, y and z


ANSWER

All of these


SOLUTION
$$Since\quad line\quad n\quad and\quad m\quad intersect\quad each\quad other\quad at\quad point\quad O\quad \\ \angle MON\quad =\quad 25\quad (given)\\ \angle MON\quad =\quad \angle y(vertically\quad opposite\quad angles)\\ \angle y\quad =\quad 25\quad \\ Since\quad \angle y\quad and\quad \angle z\quad form\quad linear\quad pair\quad of\quad angles\quad \\ \angle y\quad +\quad \angle z\quad =\quad 180(linear\quad pair\quad of\quad angles\quad add\quad to\quad form\quad 180\\ \Longrightarrow \angle z\quad =\quad 180-\quad \angle y\quad =\quad 180\quad -\quad 25\quad =\quad 155\\ Also\angle z\quad =\quad \angle x\quad =155(vertically\quad opposite\quad angles)\\ Hence\quad \angle x\quad =\quad 155,\angle y\quad =\quad 25\quad and\quad \angle z\quad =\quad 155$$
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Single Correct Medium Published on 09th 09, 2020
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